Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.

Question

Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.
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Solution 1

To solve this problem, we can use the formula for the length of a common chord between two intersecting circles. The formula is:

Length of common chord = 2 * sqrt[(r1^2 - d^2) + (r2^2 - d^2)]

where r1 and r2 are the radii of the two circles and d is the distance between their centres.

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